35623231045632 has 540 divisors, whose sum is σ = 107330181723856. Its totient is φ = 11822346731520.

The previous prime is 35623231045631. The next prime is 35623231045687. The reversal of 35623231045632 is 23654013232653.

35623231045632 is a `hidden beast` number, since 3 + 5 + 6 + 2 + 3 + 2 + 3 + 1 + 0 + 4 + 5 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (35623231045631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30421204407 + ... + 30421205577.

Almost surely, 2^{35623231045632} is an apocalyptic number.

35623231045632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35623231045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53665090861928).

35623231045632 is an abundant number, since it is smaller than the sum of its proper divisors (71706950678224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35623231045632 is an frugal number, since it uses more digits than its factorization.

35623231045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 35623231045632 in words is "thirty-five trillion, six hundred twenty-three billion, two hundred thirty-one million, forty-five thousand, six hundred thirty-two".